Dynamics and control issues of multi-rotor platforms

This thesis deals with the analytic study of dynamics of Multi--Rotor Unmanned Aerial Vehicles. It is conceived to give a set of mathematical instruments apt to the theoretical study and design of these flying machines. The entire work is organized in analogy with classical academic texts about airplane flight dynamics. First, the non--linear equations of motion are defined and all the external actions are modeled, with particular attention to rotors aerodynamics. All the equations are provided in a form, and with personal expedients, to be directly exploitable in a simulation environment. This has requited an answer to questions like the trim of such mathematical systems. All the treatment is developed aiming at the description of different multi--rotor configurations. Then, the linearized equations of motion are derived. The computation of the stability and control derivatives of the linear model is carried out. The study of static and dynamic stability characteristics is, thus, addressed, showing the influence of the various geometric and aerodynamic parameters of the machine and in particular of the rotors. All the theoretic results are finally utilized in two interesting cases. One concerns the design of control systems for attitude stabilization. The linear model permits the tuning of linear controllers gains and the non--linear model allows the numerical testing. The other case is the study of the performances of an innovative configuration of quad--rotor aircraft. With the non--linear model the feasibility of maneuvers impossible for a traditional quad--rotor is assessed. The linear model is applied to the controllability analysis of such an aircraft in case of actuator block.

Ortho Effect in the Bergman Cyclization: Electronic and Steric Effects in Hydrogen Abstraction by 1-Substituted Naphthalene 5,8-Diradicals

We present a detailed theoretical study of geometries, electronic structure, and energies of transition states and intermediates completing the full Bergman cycloaromatization pathway of ortho-substituted enediynes with a focus on polar and steric contributions to the kinetics and thermodynamics of hydrogen abstraction. This study provides a rare unambiguous example of remote substitution that affects reactivity of a neutral reactive intermediate through an σ framework.

Single-Molecule Junctions Based on Nitrile-Terminated Biphenyls: A Promising New Anchoring Group

We present a combined experimental and theoretical study of the electronic transport through single-molecule junctions based on nitrile-terminated biphenyl derivatives. Using a scanning tunneling microscope-based break-junction technique, we show that the nitrile-terminated compounds give rise to well-defined peaks in the conductance histograms resulting from the high selectivity of the N-Au binding. Ab initio calculations have revealed that the transport takes place through the tail of the LUMO. Furthermore, we have found both theoretically and experimentally that the conductance of the molecular junctions is roughly proportional to the square of the cosine of the torsion angle between the two benzene rings of the biphenyl core, which demonstrates the robustness of this structure-conductance relationship.

Intermolecular Clamping by Hydrogen Bonds: 2-Pyridone center dot NH3

A combined spectroscopic and ab initio theoretical study of the doubly hydrogen-bonded complex of 2-pyridone (2PY) with NH3 has been performed. The S-1 <- S-0 spectrum extends up to approximate to 1200 cm(-1) above the 0(0)(0) band, close to twice the range observed for 2PY. The S-1 state nonradiative decay for vibrations above approximate to 300 cm(-1) in the NH3 complex is dramatically slowed down relative to bare 2PY. Also, the Delta v=2,4,... overtone bands of the v(1)' and v(2)' out-of-plane vibrations that dominate the low-energy spectral region of 2PY are much weaker or missing for 2PY center dot NH3, which implies that the bridging (2PY)NH center dot center dot center dot NH3 and H2NH center dot center dot center dot O=C H-bonds clamp the 2PY at a planar geometry in the S-1 state. The mass-resolved UV vibronic spectra of jet-cooled 2PY center dot NH3 and its H/D mixed isotopomers are measured using two-color resonant two-photon ionization spectroscopy. The S-0 and S-1 equilibrium structures and normal-mode frequencies are calculated by density functional (B3LYP) and correlated ab initio methods (MP2 and approximate second-order coupled-cluster, CC2). The S-1 <- S-0 vibronic assignments are based on configuration interaction singles (CIS) and CC2 calculations. A doubly H-bonded bridged structure of C-S symmetry is predicted, in agreement with that of Held and Pratt [J. Am. Chem. Soc. 1993, 115, 9718]. While the B3LYP and MP2 calculated rotational constants are in very good agreement with experiment, the calculated H2NH center dot center dot center dot O=C H-bond distance is approximate to 0.7 angstrom shorter than that derived by Held and Pratt. On the other hand, this underlines their observation that ammonia can act as a strong H-bond donor when built into an H-bonded bridge. The CC2 calculations predict the H2NH center dot center dot center dot O distance to increase by 0.2 angstrom upon S-1 <- S-0 electronic excitation, while the (2PY)NH center dot center dot center dot NH3 H-bond remains nearly unchanged. Thus, the expansion of the doubly H-bonded bridge in the excited state is asymmetric and almost wholly due to the weakening of the interaction of ammonia with the keto acceptor group.

First-principles studies of boron nanostructures

Boron is an 'electron deficient' element which has a rather fascinating chemical versatility. In the solid state, the elemental boron has neither a pure covalent nor a pure metallic character. As a result, its vast structural dimensionally and peculiar bonding features hold a unique place among other elements in the periodic table. In order to understand and properly describe these unusual bonding features, a detailed and systematic theoretical study is needed. In this work, I will show that some of the qualitative features of boron nanostructures, including clusters, sheets and nanotubes can easily be extracted from the results of first principles calculations based on density functional theory. Specifically, the size-dependent evolution of topological structures and bonding characteristics of boron clusters, Bn will be discussed. Based on the scenario observed in the boron clusters, the unique properties of boron sheets and boron nanotubes will be described. Moreover, the ballistic electron transport in single-walled carbon nanotubes will be considered. It is expected that the theoretical results obtained in the present thesis will initiate further studies on boron nanostructures, which will be helpful in understanding, designing and realizing boron-based nanoscale devices.

Population genetics of VNTR loci and their applications in evolutionary studies

Variable number of tandem repeats (VNTR) are genetic loci at which short sequence motifs are found repeated different numbers of times among chromosomes. To explore the potential utility of VNTR loci in evolutionary studies, I have conducted a series of studies to address the following questions: (1) What are the population genetic properties of these loci? (2) What are the mutational mechanisms of repeat number change at these loci? (3) Can DNA profiles be used to measure the relatedness between a pair of individuals? (4) Can DNA fingerprint be used to measure the relatedness between populations in evolutionary studies? (5) Can microsatellite and short tandem repeat (STR) loci which mutate stepwisely be used in evolutionary analyses?^ A large number of VNTR loci typed in many populations were studied by means of statistical methods developed recently. The results of this work indicate that there is no significant departure from Hardy-Weinberg expectation (HWE) at VNTR loci in most of the human populations examined, and the departure from HWE in some VNTR loci are not solely caused by the presence of population sub-structure.^ A statistical procedure is developed to investigate the mutational mechanisms of VNTR loci by studying the allele frequency distributions of these loci. Comparisons of frequency distribution data on several hundreds VNTR loci with the predictions of two mutation models demonstrated that there are differences among VNTR loci grouped by repeat unit sizes.^ By extending the ITO method, I derived the distribution of the number of shared bands between individuals with any kinship relationship. A maximum likelihood estimation procedure is proposed to estimate the relatedness between individuals from the observed number of shared bands between them.^ It was believed that classical measures of genetic distance are not applicable to analysis of DNA fingerprints which reveal many minisatellite loci simultaneously in the genome, because the information regarding underlying alleles and loci is not available. I proposed a new measure of genetic distance based on band sharing between individuals that is applicable to DNA fingerprint data.^ To address the concern that microsatellite and STR loci may not be useful for evolutionary studies because of the convergent nature of their mutation mechanisms, by a theoretical study as well as by computer simulation, I conclude that the possible bias caused by the convergent mutations can be corrected, and a novel measure of genetic distance that makes the correction is suggested. In summary, I conclude that hypervariable VNTR loci are useful in evolutionary studies of closely related populations or species, especially in the study of human evolution and the history of geographic dispersal of Homo sapiens. (Abstract shortened by UMI.) ^

Estudio a escala laboratorio y planta piloto, de la adsorción de NO y SO2, sobre CR2O3/AL2O3 a altas temperaturas, provenientes de fuentes fijas

Resumen: Se planificaron las experiencias con el objeto de analizar el comportamiento del catalizador en la columna metálica de mayor diámetro. Se modificaron las masas usadas para verificar la eficiencia de retención respecto de la masa. Se realizaron ciclos de adsorción, desorción y readsorción sobre una misma muestra para determinar variaciones en la eficiencia del catalizador. En otra fase, en colaboración con el Dr. V. A. Ranea y el Prof. E. E. Mola (INIFTA, UNLP), se desarrolló el estudio teórico de la adsorción de moléculas de SO2, CH4, CO2, O2 y CO sobre Cr2O3(0001) mediante Teoría del Funcional Densidad (programa VASP, Vienna Ab-initio Simulation Package), y el estudio de la cinética de la reacción entre CH4, SO2 y el O2 junto con la presencia de especies sulfito y sulfato. Este estudio permitió hallar los sitios preferenciales de adsorción de Sº y la posible competencia con SO2 experimentalmente y por cálculos teóricos. Dentro del marco de la presente línea de investigación, la Ing. Sabrina Hernández Guiance continúa realizando experiencias en el marco del proyecto conjunto con el INIFTA, las cuales forman parte del desarrollo de su tesis doctoral. Experimentalmente, se observa que la eficiencia de adsorción del catalizador respecto al SO2 es cercana al 100%. Se observa un pico de termodesorción a 1120 K. Luego, se estudió la oxidación de CH4 con SO2. Se observa que hay producción de CO2 desde temperatura inicial, seguida de un aumento significativo en la formación de CO2 hasta 330-340 K. Luego, la producción de CO2 se mantiene aproximadamente constante. Mediante el empleo de la ecuación de Arrhenius y resultados experimentales, se obtuvo la energía de activación de la reacción global, de 7 Kcal/mol. Mediante estudios teóricos, se determinó que la energía de quimisorción del SO2 sobre el Cr2O3 es de -3.09 eV para la configuración más estable, una energía de adsorción de O2 en estado disociativo de -1.567 eV, una energía para CH4 sobre O2 adsorbido previamente de -0.335 eV, y - 0.812 eV para la configuración más estable de CO2 sobre el sustrato.

Píldoras formativas y videojuegos aplicados al estudio de la Ingeniería Acústica

Las TIC cada vez tienen un mayor impacto social en el mundo de la enseñanza a distancia, están surgiendo nuevos conceptos relacionados con la forma de llevar el aprendizaje a las personas. La generación de contenidos supone una práctica costosa en tiempo, recursos y personas, es por eso la tendencia a que sean reutilizables, accesibles, portables y durables. Es aquí donde toman su importancia las píldoras formativas o de conocimiento, estando asociadas a un concepto y con una duración entre 5 y 15 minutos. Este trabajo pretende desarrollar píldoras formativas a modo de videos de corta duración sobre conceptos acústicos y guiones de prácticas de laboratorio tratados a lo largo del máster. Se desarrollará también a modo de videojuego el guión de una de las prácticas sirviendo como complemento a los videos. El trabajo se divide en dos partes bien diferenciadas, una de estudio teórico tanto de la tecnología para el desarrollo de los videos, que servirá de guía para futuras píldoras, como del contenido de éstos, y otra parte que tratará la implementación y adaptación de los videos y de los videojuegos. SUMMARY ICTs are becoming a greater social impact in the world of distance learning are emerging concepts related to learning how to take people. Content generation is a costly exercise in time, resources and people, is why the tendency to be reusable, accessible, portable and durable. This is where the importance of taking pills training or knowledge, being associated with a concept and with a duration between 5 and 15 minutes. This work aims to develop training pills as a short videos on concepts and scripts acoustic laboratory practices discussed during the Master. Also be developed as a script for a game of serving practices to supplement the videos. The work is divided into two distinct parts, a theoretical study of both the technology for the development of the videos, which will guide future pills, and the content of these, and another part that will address the implementation and adaptation of the videos and of video games.

Análisis de imágenes basado en correlación de imágenes

El objetivo principal del proyecto es la realización de una aplicación en el programa MATLAB. En primer lugar, realizaremos un estudio teórico relativo al tema de nuestro proyecto. En nuestro caso como el tema es Imagen y Televisión, explicaremos de forma teórica la información principal acerca del Tratamiento Digital de la Imagen. Una vez conocida las técnicas principales utilizadas en el tratamiento digital, realizaremos un estudio exhaustivo en las técnicas actuales que existen acerca del análisis de imágenes. Daremos una breve explicación mostrando en qué consiste esta técnica, los diferentes pasos que se llevan a cabo en una imagen para su análisis, explicando brevemente cada unos de ellos y enumerando algunas técnicas para la realización de cada una de ellas. Tras esta primera parte, nos centraremos en las técnicas de correlación de imágenes (DIC). Explicaremos como han surgido estas técnicas, cual son sus principales conceptos, sus inicios y las ventajas e inconvenientes que tienen. Dentro de las diferentes técnicas de correlación de imágenes, explicaremos de forma detallada la correspondencia por áreas, ya que es la técnica que vamos a utilizar para la realización del proyecto. Explicaremos en qué consiste, y desarrollaremos teóricamente cual son los pasos que se deben realizar en las imágenes para realizar esta técnica. Explicaremos cual es su terminología, y cuáles son los posibles defectos que puede tener esta técnica. Finalmente, una vez estudiada la teoría, realizaremos una sencilla aplicación que nos permita evaluar y encontrar las diferencias en una secuencia de imágenes. El programa utilizado para este proyecto es MATLAB, que es un programa matemático, utilizado enormemente en el ámbito de la ingeniería. Mediante esta aplicación obtendremos dos figuras, una de ellas donde veremos los vectores de movimiento que existen entre las dos imágenes y la segunda, donde obtendremos el factor de correlación que hay entre las dos imágenes. ABSTRACT OF MY PROJECT The main objective of the project is the development of an application in MATLAB program. Firstly carry out a theoretical study on the topic of our project. In our case as the theme is Picture and Television, we explain the main information about Digital Image Processing. Once known the main techniques used in digital images, we will make a study on current techniques that exist about image analysis. We will give a brief explanation showing what this technique is, the different steps that are performed on an image for analysis, briefly explaining each of them and listing some techniques for performing each. After this first part, we will focus on the techniques of image correlation (DIC). We explain how these techniques have emerged, which are the main concepts, the beginning and the advantages and disadvantages they have. There are different image correlation techniques. We will explain in detail the correspondence areas, as it is the technique that we will use for the project. Explain what it is, which is theoretically and we develop steps that must be performed on the images for this technique. We explain what their terminology is, and what are the possible defects that may have this technique. Finally, having explored the theory images, we will make a simple application that allows us to evaluate and find differences in a sequence of images. The program used for this project is MATLAB, a mathematical program, widely used in the field of engineering. Using this application will get two figures, one where we will see the motion vectors between the two images and the second where we get the correlation factor between the two images.

Estudio de las redes sociales para mejorar los servicios de valor añadido en las empresas de telecomunicaciones. Propuesta de un sistema de recuperación de información de las redes sociales.

Las redes sociales en la actualidad son muy relevantes, no solo ocupan mucho tiempo en la vida diaria de las personas si no que también sirve a millones de empresas para publicitarse entre otras cosas. Al fenómeno de las redes sociales se le ha unido la faceta empresarial. La liberación de las APIs de algunas redes sociales ha permitido el desarrollo de aplicaciones de todo tipo y que puedan tener diferentes objetivos como por ejemplo este proyecto. Este proyecto comenzó desde el interés por Ericsson del estudio del API de Google+ y sugerencias para dar valores añadidos a las empresas de telecomunicaciones. También ha complementando la referencia disponible en Ericsson y de los otros dos proyectos de recuperación de información de las redes sociales, añadiendo una serie de opciones para el usuario en la aplicación. Para ello, se ha analizado y realizado un ejemplo, de lo que podemos obtener de las redes sociales, principalmente Twitter y Google+. Lo primero en lo que se ha basado el proyecto ha sido en realizar un estudio teórico sobre el inicio de las redes sociales, el desarrollo y el estado en el que se encuentran, analizando así las principales redes sociales que existen y aportando una visión general sobre todas ellas. También se ha realizado un estado de arte sobre una serie de webs que se dedican al uso de esa información disponible en Internet. Posteriormente, de todas las redes sociales con APIs disponibles se realizó la elección de Google+ porque es una red social nueva aun por explorar y mejorar. Y la elección de Twitter por la serie de opciones y datos que se puede obtener de ella. De ambas se han estudiado sus APIs, para posteriormente con la información obtenida, realizar una aplicación prototipo que recogiera una serie de funciones útiles a partir de los datos de sus redes sociales. Por último se ha realizado una simple interfaz en la cual se puede acceder a los datos de la cuenta como si se estuviera en Twitter o Google+, además con los datos de Twitter se puede realizar una búsqueda avanzada con alertas, un análisis de sentimiento, ver tus mayores retweets de los que te siguen y por último realizar un seguimiento comparando lo que se comenta sobre dos temas determinados. Con este proyecto se ha pretendido proporcionar una idea general de todo lo relacionado con las redes sociales, las aplicaciones disponibles para trabajar con ellas, la información del API de Twitter y Google+ y un concepto de lo que se puede obtener. Today social networks are very relevant, they not only take a long time in daily life of people but also serve millions of businesses to advertise and other things. The phenomenon of social networks has been joined the business side. The release of the APIs of some social networks has allowed the development of applications of all types and different objectives such as this project. This project started from an interest in the study of Ericsson about Google+ API and suggestions to add value to telecommunications companies. This project has complementing the reference available in Ericsson and the other two projects of information retrieval of social networks, adding a number of options for the user in the application. To do this, we have analyzed and made an example of what we can get it from social networks, mainly Twitter and Google+. The first thing that has done in the project was to make a theoretical study on the initiation of social networks, the development and the state in which they are found, and analyze the major social networks that exist. There has also been made a state of art on a number of websites that are dedicated to the use of this information available online. Subsequently, about all the social networks APIs available, Google+ was choice because it is a new social network even to explore and improve. And the choice of Twitter for the number of options and data that can be obtained from it. In both APIs have been studied, and later with the information obtained, make a prototype application to collect a number of useful features from data of social networks. Finally there has been a simple interface, in which you can access the account as if you were on Twitter or Google+. With Twitter data can perform an advanced search with alerts, sentiment analysis, see retweets of who follow you and make comparing between two particular topics. This project is intended to provide an overview of everything related to social networks, applications available to work with them, information about API of Google+ and Twitter, and a concept of what you can get.

Reconocimiento de objetos a partir de imágenes termográficas

La termografía es un método de inspección y diagnóstico basado en la radiación infrarroja que emiten los cuerpos. Permite medir dicha radiación a distancia y sin contacto, obteniendo un termograma o imagen termográfica, objeto de estudio de este proyecto. Todos los cuerpos que se encuentren a una cierta temperatura emiten radiación infrarroja. Sin embargo, para hacer una inspección termográfica hay que tener en cuenta la emisividad de los cuerpos, capacidad que tienen de emitir radiación, ya que ésta no sólo depende de la temperatura del cuerpo, sino también de sus características superficiales. Las herramientas necesarias para conseguir un termograma son principalmente una cámara termográfica y un software que permita su análisis. La cámara percibe la emisión infrarroja de un objeto y lo convierte en una imagen visible, originalmente monocromática. Sin embargo, después es coloreada por la propia cámara o por un software para una interpretación más fácil del termograma. Para obtener estas imágenes termográficas existen varias técnicas, que se diferencian en cómo la energía calorífica se transfiere al cuerpo. Estas técnicas se clasifican en termografía pasiva, activa y vibrotermografía. El método que se utiliza en cada caso depende de las características térmicas del cuerpo, del tipo de defecto a localizar o la resolución espacial de las imágenes, entre otros factores. Para analizar las imágenes y así obtener diagnósticos y detectar defectos, es importante la precisión. Por ello existe un procesado de las imágenes, para minimizar los efectos provocados por causas externas, mejorar la calidad de la imagen y extraer información de las inspecciones realizadas. La termografía es un método de ensayo no destructivo muy flexible y que ofrece muchas ventajas. Por esta razón el campo de aplicación es muy amplio, abarcando desde aplicaciones industriales hasta investigación y desarrollo. Vigilancia y seguridad, ahorro energético, medicina o medio ambiente, son algunos de los campos donde la termografía aportaimportantes beneficios. Este proyecto es un estudio teórico de la termografía, donde se describen detalladamente cada uno de los aspectos mencionados. Concluye con una aplicación práctica, creando una cámara infrarroja a partir de una webcam, y realizando un análisis de las imágenes obtenidas con ella. Con esto se demuestran algunas de las teorías explicadas, así como la posibilidad de reconocer objetos mediante la termografía. Thermography is a method of testing and diagnosis based on the infrared radiation emitted by bodies. It allows to measure this radiation from a distance and with no contact, getting a thermogram or thermal image, object of study of this project. All bodies that are at a certain temperature emit infrared radiation. However, making a thermographic inspection must take into account the emissivity of the body, capability of emitting radiation. This not only depends on the temperature of the body, but also on its surface characteristics. The tools needed to get a thermogram are mainly a thermal imaging camera and software that allows analysis. The camera sees the infrared emission of an object and converts it into a visible image, originally monochrome. However, after it is colored by the camera or software for easier interpretation of thermogram. To obtain these thermal images it exists various techniques, which differ in how heat energy is transferred to the body. These techniques are classified into passive thermography, active and vibrotermografy. The method used in each case depends on the thermal characteristics of the body, the type of defect to locate or spatial resolution of images, among other factors. To analyze the images and obtain diagnoses and defects, accuracy is important. Thus there is a image processing to minimize the effects caused by external causes, improving image quality and extract information from inspections. Thermography is a non-­‐destructive test method very flexible and offers many advantages. So the scope is very wide, ranging from industrial applications to research and development.Surveillance and security, energy saving, environmental or medicine are some of the areas where thermography provides significant benefits. This project is a theoretical study of thermography, which describes in detail each of these aspects. It concludes with a practical application, creating an infrared camera from a webcam, and making an analysis of the images obtained with it. This will demonstrate some of the theories explained as well as the ability to recognize objects by thermography.

Modelado de redes SMATV mediante técnicas de medida TDA

En este Proyecto se pretende establecer la forma de realizar un análisis correcto y ajustado de las redes SMATV (Satellite Master Antenna Television), incluidas dentro de las ICT (Infraestructura Común de Telecomunicaciones), mediante el método de análisis TDA (Time Domain Analysis). Para ello, en primer lugar se procederá a hacer un estudio teórico sobre las ICT’s y sobre las bases en las que se sustenta el método de análisis TDA que sirva como puente introductorio al tema principal de este proyecto. Este tema es el de, mediante el programa de simulación AWR, caracterizar la señal más adecuada para realizar medidas de calidad en las redes SMATV mediante la técnica del TDA y ser capaz de realizar un estudio conciso de estas. Esto se pretende conseguir mediante la definición más correcta de los parámetros de la señal de entrada que se introduciría en la red en futuras medidas de prueba. Una vez conseguida una señal "tipo", se caracterizarán diferentes dispositivos o elementos que forman las redes SMATV para comprobar que la medida realizada con el método del TDA es igual de válida que realizada con el método de análisis vectorial de redes (VNA). ABSTRACT This project aims to establish how to perform a proper analysis and set of SMATV networks (Satellite Master Antenna Television), included within the ICT (Common Telecommunications Infrastructure) by the method of analysis TDA (Time Domain Analysis). To do this, first it will proceed to make a theoretical study on the ICT's and the basis on which the method of analysis TDA is based, introduction that serve as a bridge to the main issue of this project. This issue is about characterizing the most appropriate signal quality measurements in SMATV networks using the technique of AD through the AWR simulation program, and be able to make a concise study of these. This is intended to achieve through the proper definition of the parameters of the input signal, that would be introduced into the network in future test measures. Once achieved a signal "type", will be characterized different devices or elements forming SMATV networks to check that the measure on the TDA method is as valid as on the method of vector network analysis (VNA) .

Electromagnetic analysis of periodic structures under a waveguide viewpoint

The fundamental objective of this Ph. D. dissertation is to demonstrate that, under particular circumstances which cover most of the structures with practical interest, periodic structures can be understood and analyzed by means of closed waveguide theories and techniques. To that aim, in the first place a transversely periodic cylindrical structure is considered and the wave equation, under a combination of perfectly conducting and periodic boundary conditions, is studied. This theoretical study runs parallel to the classic analysis of perfectly conducting closed waveguides. Under the light shed by the aforementioned study it is clear that, under certain very common periodicity conditions, transversely periodic cylindrical structures share a lot of properties with closed waveguides. Particularly, they can be characterized by a complete set of TEM, TE and TM modes. As a result, this Ph. D. dissertation introduces the transversely periodic waveguide concept. Once the analogies between the modes of a transversely periodic waveguide and the ones of a closed waveguide have been established, a generalization of a well-known closed waveguide characterization method, the generalized Transverse Resonance Technique, is developed for the obtention of transversely periodic modes. At this point, all the necessary elements for the consideration of discontinuities between two different transversely periodic waveguides are at our disposal. The analysis of this type of discontinuities will be carried out by means of another well known closed waveguide method, the Mode Matching technique. This Ph. D. dissertation contains a sufficient number of examples, including the analysis of a wire-medium slab, a cross-shaped patches periodic surface and a parallel plate waveguide with a textured surface, that demonstrate that the Transverse Resonance Technique - Mode Matching hybrid is highly precise, efficient and versatile. Thus, the initial statement: ”periodic structures can be understood and analyzed by means of closed waveguide theories and techniques”, will be corroborated. Finally, this Ph. D. dissertation contains an adaptation of the aforementioned generalized Transverse Resonance Technique by means of which the analysis of laterally open periodic waveguides, such as the well known Substrate Integrated Waveguides, can be carried out without any approximation. The analysis of this type of structures has suscitated a lot of interest in the recent past and the previous analysis techniques proposed always resorted to some kind of fictitious wall to close the structure. vii Resumen El principal objetivo de esta tesis doctoral es demostrar que, bajo ciertas circunstancias que se cumplen para la gran mayoría de estructuras con interés práctico, las estructuras periódicas se pueden analizar y entender con conceptos y técnicas propias de las guías de onda cerradas. Para ello, en un primer lugar se considera una estructura cilíndrical transversalmente periódica y se estudia la ecuación de onda bajo una combinación de condiciones de contorno periódicas y de conductor perfecto. Este estudio teórico y de caracter general, sigue el análisis clásico de las guías de onda cerradas por conductor eléctrico perfecto. A la luz de los resultados queda claro que, bajo ciertas condiciones de periodicidad (muy comunes en la práctica) las estructuras cilíndricas transversalmente periódicas guardan multitud de analogías con las guías de onda cerradas. En particular, pueden ser descritas mediante un conjunto completo de modos TEM, TE y TM. Por ello, ésta tesis introduce el concepto de guía de onda transversalmente periódica. Una vez establecidas las similitudes entre las soluciones de la ecuación de onda, bajo una combinación de condiciones de contorno periódicas y de conductor perfecto, y los modos de guías de onda cerradas, se lleva a cabo, con éxito, la adaptación de un conocido método de caracterización de guías de onda cerradas, la técnica de la Resonancia Transversal Generalizada, para la obtención de los modos de guías transversalmente periódicas. En este punto, se tienen todos los elementos necesarios para considerar discontinuidades entre guías de onda transversalmente periódicas. El analisis de este tipo de discontinuidades se llevará a cabo mediante otro conocido método de análisis de estructuras cerradas, el Ajuste Modal. Esta tesis muestra multitud de ejemplos, como por ejemplo el análisis de un wire-medium slab, una superficie de parches con forma de cruz o una guía de placas paralelas donde una de dichas placas tiene cierta textura, en los que se demuestra que el método híbrido formado por la Resonancia Transversal Generalizada y el Ajuste Modal, es tremendamente preciso, eficiente y versátil y confirmará la validez de el enunciado inicial: ”las estructuras periódicas se pueden analizar y entender con conceptos y técnicas propias de las guías de onda cerradas” Para terminar, esta tésis doctoral incluye también una modificación de la técnica de la Resonancia Transversal Generalizada mediante la cual es posible abordar el análisis de estructuras periódica abiertas en los laterales, como por ejemplo las famosas guías de onda integradas en sustrato, sin ninguna aproximación. El análisis de este tipo de estructuras ha despertado mucho interés en los últimos años y las técnicas de análisis propuestas hasta ix el momento acostumbran a recurrir a algún tipo de pared ficticia para simular el carácter abierto de la estructura.

Column Generation Algorithms for Nonlinear Optimization II: Numerical Investigations

García et al. present a class of column generation (CG) algorithms for nonlinear programs. Its main motivation from a theoretical viewpoint is that under some circumstances, finite convergence can be achieved, in much the same way as for the classic simplicial decomposition method; the main practical motivation is that within the class there are certain nonlinear column generation problems that can accelerate the convergence of a solution approach which generates a sequence of feasible points. This algorithm can, for example, accelerate simplicial decomposition schemes by making the subproblems nonlinear. This paper complements the theoretical study on the asymptotic and finite convergence of these methods given in [1] with an experimental study focused on their computational efficiency. Three types of numerical experiments are conducted. The first group of test problems has been designed to study the parameters involved in these methods. The second group has been designed to investigate the role and the computation of the prolongation of the generated columns to the relative boundary. The last one has been designed to carry out a more complete investigation of the difference in computational efficiency between linear and nonlinear column generation approaches. In order to carry out this investigation, we consider two types of test problems: the first one is the nonlinear, capacitated single-commodity network flow problem of which several large-scale instances with varied degrees of nonlinearity and total capacity are constructed and investigated, and the second one is a combined traffic assignment model

Electronic, structural, and optical properties of the host and Cr-doped cadmium thioindate

The cadmium thioindate spinel CdIn2S4 semiconductor has potential applications for optoelectronic devices. We present a theoretical study of the structural and optoelectronic properties of the host and of the Cr-doped ternary spinel. For the host spinel, we analyze the direct or indirect character of the energy bandgap, the change of the energy bandgap with the anion displacement parameter and with the site cation distribution, and the optical properties. The main effect of the Cr doping is the creation of an intermediate band within the energy bandgap. The character and the occupation of this band are analyzed for two substitutions: Cr by In and Cr by Cd. This band permits more channels for the photon absorption. The optical properties are obtained and analyzed. The absorption coefficients are decomposed into contributions from the different absorption channels and from the inter-and intra-atomic components.